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<div class="subTitle">org.apache.commons.math3.stat.inference</div>
<h2 title="Class TestUtils" class="title">Class TestUtils</h2>
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<pre>public class <span class="strong">TestUtils</span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
<div class="block">A collection of static methods to create inference test instances or to
 perform inference tests.</div>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>1.1</dd></dl>
</li>
</ul>
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<h3>Method Summary</h3>
<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#approximateP(double,%20int,%20int)">approximateP</a></strong>(double&nbsp;d,
            int&nbsp;n,
            int&nbsp;m)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquare(double[],%20long[])">chiSquare</a></strong>(double[]&nbsp;expected,
         long[]&nbsp;observed)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquare(long[][])">chiSquare</a></strong>(long[][]&nbsp;counts)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareDataSetsComparison(long[],%20long[])">chiSquareDataSetsComparison</a></strong>(long[]&nbsp;observed1,
                           long[]&nbsp;observed2)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTest(double[],%20long[])">chiSquareTest</a></strong>(double[]&nbsp;expected,
             long[]&nbsp;observed)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTest(double[],%20long[],%20double)">chiSquareTest</a></strong>(double[]&nbsp;expected,
             long[]&nbsp;observed,
             double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTest(long[][])">chiSquareTest</a></strong>(long[][]&nbsp;counts)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTest(long[][],%20double)">chiSquareTest</a></strong>(long[][]&nbsp;counts,
             double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTestDataSetsComparison(long[],%20long[])">chiSquareTestDataSetsComparison</a></strong>(long[]&nbsp;observed1,
                               long[]&nbsp;observed2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#chiSquareTestDataSetsComparison(long[],%20long[],%20double)">chiSquareTestDataSetsComparison</a></strong>(long[]&nbsp;observed1,
                               long[]&nbsp;observed2,
                               double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#exactP(double,%20int,%20int,%20boolean)">exactP</a></strong>(double&nbsp;d,
      int&nbsp;m,
      int&nbsp;n,
      boolean&nbsp;strict)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#g(double[],%20long[])">g</a></strong>(double[]&nbsp;expected,
 long[]&nbsp;observed)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gDataSetsComparison(long[],%20long[])">gDataSetsComparison</a></strong>(long[]&nbsp;observed1,
                   long[]&nbsp;observed2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTest(double[],%20long[])">gTest</a></strong>(double[]&nbsp;expected,
     long[]&nbsp;observed)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTest(double[],%20long[],%20double)">gTest</a></strong>(double[]&nbsp;expected,
     long[]&nbsp;observed,
     double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTestDataSetsComparison(long[],%20long[])">gTestDataSetsComparison</a></strong>(long[]&nbsp;observed1,
                       long[]&nbsp;observed2)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTestDataSetsComparison(long[],%20long[],%20double)">gTestDataSetsComparison</a></strong>(long[]&nbsp;observed1,
                       long[]&nbsp;observed2,
                       double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#gTestIntrinsic(double[],%20long[])">gTestIntrinsic</a></strong>(double[]&nbsp;expected,
              long[]&nbsp;observed)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticT(double[],%20double[])">homoscedasticT</a></strong>(double[]&nbsp;sample1,
              double[]&nbsp;sample2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticT(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)">homoscedasticT</a></strong>(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
              <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticTTest(double[],%20double[])">homoscedasticTTest</a></strong>(double[]&nbsp;sample1,
                  double[]&nbsp;sample2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticTTest(double[],%20double[],%20double)">homoscedasticTTest</a></strong>(double[]&nbsp;sample1,
                  double[]&nbsp;sample2,
                  double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#homoscedasticTTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)">homoscedasticTTest</a></strong>(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
                  <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#kolmogorovSmirnovStatistic(double[],%20double[])">kolmogorovSmirnovStatistic</a></strong>(double[]&nbsp;x,
                          double[]&nbsp;y)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#kolmogorovSmirnovStatistic(org.apache.commons.math3.distribution.RealDistribution,%20double[])">kolmogorovSmirnovStatistic</a></strong>(<a href="../../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a>&nbsp;dist,
                          double[]&nbsp;data)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#kolmogorovSmirnovTest(double[],%20double[])">kolmogorovSmirnovTest</a></strong>(double[]&nbsp;x,
                     double[]&nbsp;y)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#kolmogorovSmirnovTest(double[],%20double[],%20boolean)">kolmogorovSmirnovTest</a></strong>(double[]&nbsp;x,
                     double[]&nbsp;y,
                     boolean&nbsp;strict)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#kolmogorovSmirnovTest(org.apache.commons.math3.distribution.RealDistribution,%20double[])">kolmogorovSmirnovTest</a></strong>(<a href="../../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a>&nbsp;dist,
                     double[]&nbsp;data)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#kolmogorovSmirnovTest(org.apache.commons.math3.distribution.RealDistribution,%20double[],%20boolean)">kolmogorovSmirnovTest</a></strong>(<a href="../../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a>&nbsp;dist,
                     double[]&nbsp;data,
                     boolean&nbsp;strict)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#kolmogorovSmirnovTest(org.apache.commons.math3.distribution.RealDistribution,%20double[],%20double)">kolmogorovSmirnovTest</a></strong>(<a href="../../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a>&nbsp;dist,
                     double[]&nbsp;data,
                     double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#monteCarloP(double,%20int,%20int,%20boolean,%20int)">monteCarloP</a></strong>(double&nbsp;d,
           int&nbsp;n,
           int&nbsp;m,
           boolean&nbsp;strict,
           int&nbsp;iterations)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#oneWayAnovaFValue(java.util.Collection)">oneWayAnovaFValue</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#oneWayAnovaPValue(java.util.Collection)">oneWayAnovaPValue</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#oneWayAnovaTest(java.util.Collection,%20double)">oneWayAnovaTest</a></strong>(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData,
               double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#pairedT(double[],%20double[])">pairedT</a></strong>(double[]&nbsp;sample1,
       double[]&nbsp;sample2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#pairedTTest(double[],%20double[])">pairedTTest</a></strong>(double[]&nbsp;sample1,
           double[]&nbsp;sample2)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#pairedTTest(double[],%20double[],%20double)">pairedTTest</a></strong>(double[]&nbsp;sample1,
           double[]&nbsp;sample2,
           double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#rootLogLikelihoodRatio(long,%20long,%20long,%20long)">rootLogLikelihoodRatio</a></strong>(long&nbsp;k11,
                      long&nbsp;k12,
                      long&nbsp;k21,
                      long&nbsp;k22)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#t(double[],%20double[])">t</a></strong>(double[]&nbsp;sample1,
 double[]&nbsp;sample2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#t(double,%20double[])">t</a></strong>(double&nbsp;mu,
 double[]&nbsp;observed)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#t(double,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)">t</a></strong>(double&nbsp;mu,
 <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#t(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)">t</a></strong>(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
 <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double[],%20double[])">tTest</a></strong>(double[]&nbsp;sample1,
     double[]&nbsp;sample2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double[],%20double[],%20double)">tTest</a></strong>(double[]&nbsp;sample1,
     double[]&nbsp;sample2,
     double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double,%20double[])">tTest</a></strong>(double&nbsp;mu,
     double[]&nbsp;sample)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double,%20double[],%20double)">tTest</a></strong>(double&nbsp;mu,
     double[]&nbsp;sample,
     double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)">tTest</a></strong>(double&nbsp;mu,
     <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(double,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20double)">tTest</a></strong>(double&nbsp;mu,
     <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats,
     double&nbsp;alpha)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>static double</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)">tTest</a></strong>(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
     <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>static boolean</code></td>
<td class="colLast"><code><strong><a href="../../../../../../org/apache/commons/math3/stat/inference/TestUtils.html#tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20double)">tTest</a></strong>(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
     <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2,
     double&nbsp;alpha)</code>&nbsp;</td>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
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<a name="homoscedasticT(double[], double[])">
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<h4>homoscedasticT</h4>
<pre>public static&nbsp;double&nbsp;homoscedasticT(double[]&nbsp;sample1,
                    double[]&nbsp;sample2)
                             throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticT(double[],%20double[])"><code>TTest.homoscedasticT(double[], double[])</code></a></dd></dl>
</li>
</ul>
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<h4>homoscedasticT</h4>
<pre>public static&nbsp;double&nbsp;homoscedasticT(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
                    <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2)
                             throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticT(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><code>TTest.homoscedasticT(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</code></a></dd></dl>
</li>
</ul>
<a name="homoscedasticTTest(double[], double[], double)">
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<h4>homoscedasticTTest</h4>
<pre>public static&nbsp;boolean&nbsp;homoscedasticTTest(double[]&nbsp;sample1,
                         double[]&nbsp;sample2,
                         double&nbsp;alpha)
                                  throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                         <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                                         <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                                         <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticTTest(double[],%20double[],%20double)"><code>TTest.homoscedasticTTest(double[], double[], double)</code></a></dd></dl>
</li>
</ul>
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<h4>homoscedasticTTest</h4>
<pre>public static&nbsp;double&nbsp;homoscedasticTTest(double[]&nbsp;sample1,
                        double[]&nbsp;sample2)
                                 throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                        <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                                        <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticTTest(double[],%20double[])"><code>TTest.homoscedasticTTest(double[], double[])</code></a></dd></dl>
</li>
</ul>
<a name="homoscedasticTTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">
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<h4>homoscedasticTTest</h4>
<pre>public static&nbsp;double&nbsp;homoscedasticTTest(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
                        <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2)
                                 throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                        <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                                        <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#homoscedasticTTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><code>TTest.homoscedasticTTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</code></a></dd></dl>
</li>
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<h4>pairedT</h4>
<pre>public static&nbsp;double&nbsp;pairedT(double[]&nbsp;sample1,
             double[]&nbsp;sample2)
                      throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                             <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a>,
                             <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                             <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#pairedT(double[],%20double[])"><code>TTest.pairedT(double[], double[])</code></a></dd></dl>
</li>
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<h4>pairedTTest</h4>
<pre>public static&nbsp;boolean&nbsp;pairedTTest(double[]&nbsp;sample1,
                  double[]&nbsp;sample2,
                  double&nbsp;alpha)
                           throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                  <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a>,
                                  <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                  <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                                  <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                                  <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#pairedTTest(double[],%20double[],%20double)"><code>TTest.pairedTTest(double[], double[], double)</code></a></dd></dl>
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<pre>public static&nbsp;double&nbsp;pairedTTest(double[]&nbsp;sample1,
                 double[]&nbsp;sample2)
                          throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                 <a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a>,
                                 <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                 <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                                 <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NoDataException.html" title="class in org.apache.commons.math3.exception">NoDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#pairedTTest(double[],%20double[])"><code>TTest.pairedTTest(double[], double[])</code></a></dd></dl>
</li>
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<h4>t</h4>
<pre>public static&nbsp;double&nbsp;t(double&nbsp;mu,
       double[]&nbsp;observed)
                throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                       <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#t(double,%20double[])"><code>TTest.t(double, double[])</code></a></dd></dl>
</li>
</ul>
<a name="t(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">
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<h4>t</h4>
<pre>public static&nbsp;double&nbsp;t(double&nbsp;mu,
       <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats)
                throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                       <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#t(double,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><code>TTest.t(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</code></a></dd></dl>
</li>
</ul>
<a name="t(double[], double[])">
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<h4>t</h4>
<pre>public static&nbsp;double&nbsp;t(double[]&nbsp;sample1,
       double[]&nbsp;sample2)
                throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                       <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#t(double[],%20double[])"><code>TTest.t(double[], double[])</code></a></dd></dl>
</li>
</ul>
<a name="t(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">
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<h4>t</h4>
<pre>public static&nbsp;double&nbsp;t(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
       <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2)
                throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                       <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#t(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><code>TTest.t(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</code></a></dd></dl>
</li>
</ul>
<a name="tTest(double, double[], double)">
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<h4>tTest</h4>
<pre>public static&nbsp;boolean&nbsp;tTest(double&nbsp;mu,
            double[]&nbsp;sample,
            double&nbsp;alpha)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double,%20double[],%20double)"><code>TTest.tTest(double, double[], double)</code></a></dd></dl>
</li>
</ul>
<a name="tTest(double, double[])">
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<ul class="blockList">
<li class="blockList">
<h4>tTest</h4>
<pre>public static&nbsp;double&nbsp;tTest(double&nbsp;mu,
           double[]&nbsp;sample)
                    throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double,%20double[])"><code>TTest.tTest(double, double[])</code></a></dd></dl>
</li>
</ul>
<a name="tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)">
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<ul class="blockList">
<li class="blockList">
<h4>tTest</h4>
<pre>public static&nbsp;boolean&nbsp;tTest(double&nbsp;mu,
            <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats,
            double&nbsp;alpha)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20double)"><code>TTest.tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)</code></a></dd></dl>
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</ul>
<a name="tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">
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<ul class="blockList">
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<h4>tTest</h4>
<pre>public static&nbsp;double&nbsp;tTest(double&nbsp;mu,
           <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats)
                    throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><code>TTest.tTest(double, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</code></a></dd></dl>
</li>
</ul>
<a name="tTest(double[], double[], double)">
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</a>
<ul class="blockList">
<li class="blockList">
<h4>tTest</h4>
<pre>public static&nbsp;boolean&nbsp;tTest(double[]&nbsp;sample1,
            double[]&nbsp;sample2,
            double&nbsp;alpha)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double[],%20double[],%20double)"><code>TTest.tTest(double[], double[], double)</code></a></dd></dl>
</li>
</ul>
<a name="tTest(double[], double[])">
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<ul class="blockList">
<li class="blockList">
<h4>tTest</h4>
<pre>public static&nbsp;double&nbsp;tTest(double[]&nbsp;sample1,
           double[]&nbsp;sample2)
                    throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(double[],%20double[])"><code>TTest.tTest(double[], double[])</code></a></dd></dl>
</li>
</ul>
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<h4>tTest</h4>
<pre>public static&nbsp;boolean&nbsp;tTest(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
            <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2,
            double&nbsp;alpha)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20double)"><code>TTest.tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary, double)</code></a></dd></dl>
</li>
</ul>
<a name="tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)">
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<ul class="blockList">
<li class="blockList">
<h4>tTest</h4>
<pre>public static&nbsp;double&nbsp;tTest(<a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats1,
           <a href="../../../../../../org/apache/commons/math3/stat/descriptive/StatisticalSummary.html" title="interface in org.apache.commons.math3.stat.descriptive">StatisticalSummary</a>&nbsp;sampleStats2)
                    throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NumberIsTooSmallException.html" title="class in org.apache.commons.math3.exception">NumberIsTooSmallException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/TTest.html#tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary,%20org.apache.commons.math3.stat.descriptive.StatisticalSummary)"><code>TTest.tTest(org.apache.commons.math3.stat.descriptive.StatisticalSummary, org.apache.commons.math3.stat.descriptive.StatisticalSummary)</code></a></dd></dl>
</li>
</ul>
<a name="chiSquare(double[], long[])">
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</a>
<ul class="blockList">
<li class="blockList">
<h4>chiSquare</h4>
<pre>public static&nbsp;double&nbsp;chiSquare(double[]&nbsp;expected,
               long[]&nbsp;observed)
                        throws <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                               <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                               <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquare(double[],%20long[])"><code>ChiSquareTest.chiSquare(double[], long[])</code></a></dd></dl>
</li>
</ul>
<a name="chiSquare(long[][])">
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</a>
<ul class="blockList">
<li class="blockList">
<h4>chiSquare</h4>
<pre>public static&nbsp;double&nbsp;chiSquare(long[][]&nbsp;counts)
                        throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                               <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                               <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquare(long[][])"><code>ChiSquareTest.chiSquare(long[][])</code></a></dd></dl>
</li>
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<a name="chiSquareTest(double[], long[], double)">
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</a>
<ul class="blockList">
<li class="blockList">
<h4>chiSquareTest</h4>
<pre>public static&nbsp;boolean&nbsp;chiSquareTest(double[]&nbsp;expected,
                    long[]&nbsp;observed,
                    double&nbsp;alpha)
                             throws <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTest(double[],%20long[],%20double)"><code>ChiSquareTest.chiSquareTest(double[], long[], double)</code></a></dd></dl>
</li>
</ul>
<a name="chiSquareTest(double[], long[])">
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</a>
<ul class="blockList">
<li class="blockList">
<h4>chiSquareTest</h4>
<pre>public static&nbsp;double&nbsp;chiSquareTest(double[]&nbsp;expected,
                   long[]&nbsp;observed)
                            throws <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                   <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                                   <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                   <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTest(double[],%20long[])"><code>ChiSquareTest.chiSquareTest(double[], long[])</code></a></dd></dl>
</li>
</ul>
<a name="chiSquareTest(long[][], double)">
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</a>
<ul class="blockList">
<li class="blockList">
<h4>chiSquareTest</h4>
<pre>public static&nbsp;boolean&nbsp;chiSquareTest(long[][]&nbsp;counts,
                    double&nbsp;alpha)
                             throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTest(long[][],%20double)"><code>ChiSquareTest.chiSquareTest(long[][], double)</code></a></dd></dl>
</li>
</ul>
<a name="chiSquareTest(long[][])">
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</a>
<ul class="blockList">
<li class="blockList">
<h4>chiSquareTest</h4>
<pre>public static&nbsp;double&nbsp;chiSquareTest(long[][]&nbsp;counts)
                            throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                   <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                   <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                   <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTest(long[][])"><code>ChiSquareTest.chiSquareTest(long[][])</code></a></dd></dl>
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<h4>chiSquareDataSetsComparison</h4>
<pre>public static&nbsp;double&nbsp;chiSquareDataSetsComparison(long[]&nbsp;observed1,
                                 long[]&nbsp;observed2)
                                          throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                                 <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                                 <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareDataSetsComparison(long[],%20long[])"><code>ChiSquareTest.chiSquareDataSetsComparison(long[], long[])</code></a></dd></dl>
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<h4>chiSquareTestDataSetsComparison</h4>
<pre>public static&nbsp;double&nbsp;chiSquareTestDataSetsComparison(long[]&nbsp;observed1,
                                     long[]&nbsp;observed2)
                                              throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                                     <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                                     <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a>,
                                                     <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTestDataSetsComparison(long[],%20long[])"><code>ChiSquareTest.chiSquareTestDataSetsComparison(long[], long[])</code></a></dd></dl>
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<h4>chiSquareTestDataSetsComparison</h4>
<pre>public static&nbsp;boolean&nbsp;chiSquareTestDataSetsComparison(long[]&nbsp;observed1,
                                      long[]&nbsp;observed2,
                                      double&nbsp;alpha)
                                               throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                                      <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                                      <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a>,
                                                      <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                                                      <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/ChiSquareTest.html#chiSquareTestDataSetsComparison(long[],%20long[],%20double)"><code>ChiSquareTest.chiSquareTestDataSetsComparison(long[], long[], double)</code></a></dd></dl>
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<h4>oneWayAnovaFValue</h4>
<pre>public static&nbsp;double&nbsp;oneWayAnovaFValue(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData)
                                throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                       <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaFValue(java.util.Collection)"><code>OneWayAnova.anovaFValue(Collection)</code></a></dd></dl>
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<h4>oneWayAnovaPValue</h4>
<pre>public static&nbsp;double&nbsp;oneWayAnovaPValue(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData)
                                throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                       <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                       <a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a>,
                                       <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaPValue(java.util.Collection)"><code>OneWayAnova.anovaPValue(Collection)</code></a></dd></dl>
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<h4>oneWayAnovaTest</h4>
<pre>public static&nbsp;boolean&nbsp;oneWayAnovaTest(<a href="http://docs.oracle.com/javase/7/docs/api/java/util/Collection.html?is-external=true" title="class or interface in java.util">Collection</a>&lt;double[]&gt;&nbsp;categoryData,
                      double&nbsp;alpha)
                               throws <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a>,
                                      <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                      <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                                      <a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a>,
                                      <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ConvergenceException.html" title="class in org.apache.commons.math3.exception">ConvergenceException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>1.2</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/OneWayAnova.html#anovaTest(java.util.Collection,%20double)"><code>OneWayAnova.anovaTest(Collection,double)</code></a></dd></dl>
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<ul class="blockList">
<li class="blockList">
<h4>g</h4>
<pre>public static&nbsp;double&nbsp;g(double[]&nbsp;expected,
       long[]&nbsp;observed)
                throws <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                       <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                       <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#g(double[],%20long[])"><code>GTest.g(double[], long[])</code></a></dd></dl>
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<h4>gTest</h4>
<pre>public static&nbsp;double&nbsp;gTest(double[]&nbsp;expected,
           long[]&nbsp;observed)
                    throws <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                           <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTest(double[],%20long[])"><code>GTest.gTest( double[],  long[] )</code></a></dd></dl>
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<li class="blockList">
<h4>gTestIntrinsic</h4>
<pre>public static&nbsp;double&nbsp;gTestIntrinsic(double[]&nbsp;expected,
                    long[]&nbsp;observed)
                             throws <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                    <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTestIntrinsic(double[],%20long[])"><code>GTest.gTestIntrinsic(double[], long[] )</code></a></dd></dl>
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<h4>gTest</h4>
<pre>public static&nbsp;boolean&nbsp;gTest(double[]&nbsp;expected,
            long[]&nbsp;observed,
            double&nbsp;alpha)
                     throws <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                            <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotStrictlyPositiveException.html" title="class in org.apache.commons.math3.exception">NotStrictlyPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTest(double[],%20long[],%20double)"><code>GTest.gTest( double[],long[],double)</code></a></dd></dl>
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<ul class="blockList">
<li class="blockList">
<h4>gDataSetsComparison</h4>
<pre>public static&nbsp;double&nbsp;gDataSetsComparison(long[]&nbsp;observed1,
                         long[]&nbsp;observed2)
                                  throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                         <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                         <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gDataSetsComparison(long[],%20long[])"><code>GTest.gDataSetsComparison(long[], long[])</code></a></dd></dl>
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<a name="rootLogLikelihoodRatio(long, long, long, long)">
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<ul class="blockList">
<li class="blockList">
<h4>rootLogLikelihoodRatio</h4>
<pre>public static&nbsp;double&nbsp;rootLogLikelihoodRatio(long&nbsp;k11,
                            long&nbsp;k12,
                            long&nbsp;k21,
                            long&nbsp;k22)
                                     throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                            <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                            <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#rootLogLikelihoodRatio(long,%20long,%20long,%20long)"><code>GTest.rootLogLikelihoodRatio(long, long, long, long)</code></a></dd></dl>
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<h4>gTestDataSetsComparison</h4>
<pre>public static&nbsp;double&nbsp;gTestDataSetsComparison(long[]&nbsp;observed1,
                             long[]&nbsp;observed2)
                                      throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                             <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                             <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a>,
                                             <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTestDataSetsComparison(long[],%20long[])"><code>GTest.gTestDataSetsComparison(long[], long[])</code></a></dd></dl>
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<h4>gTestDataSetsComparison</h4>
<pre>public static&nbsp;boolean&nbsp;gTestDataSetsComparison(long[]&nbsp;observed1,
                              long[]&nbsp;observed2,
                              double&nbsp;alpha)
                                       throws <a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a>,
                                              <a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a>,
                                              <a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a>,
                                              <a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a>,
                                              <a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/DimensionMismatchException.html" title="class in org.apache.commons.math3.exception">DimensionMismatchException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NotPositiveException.html" title="class in org.apache.commons.math3.exception">NotPositiveException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/ZeroException.html" title="class in org.apache.commons.math3.exception">ZeroException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/OutOfRangeException.html" title="class in org.apache.commons.math3.exception">OutOfRangeException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/MaxCountExceededException.html" title="class in org.apache.commons.math3.exception">MaxCountExceededException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.1</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/GTest.html#gTestDataSetsComparison(long[],%20long[],%20double)"><code>GTest.gTestDataSetsComparison(long[],long[],double)</code></a></dd></dl>
</li>
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<a name="kolmogorovSmirnovStatistic(org.apache.commons.math3.distribution.RealDistribution, double[])">
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<h4>kolmogorovSmirnovStatistic</h4>
<pre>public static&nbsp;double&nbsp;kolmogorovSmirnovStatistic(<a href="../../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a>&nbsp;dist,
                                double[]&nbsp;data)
                                         throws <a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a>,
                                                <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#kolmogorovSmirnovStatistic(org.apache.commons.math3.distribution.RealDistribution,%20double[])"><code>KolmogorovSmirnovTest.kolmogorovSmirnovStatistic(RealDistribution, double[])</code></a></dd></dl>
</li>
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<h4>kolmogorovSmirnovTest</h4>
<pre>public static&nbsp;double&nbsp;kolmogorovSmirnovTest(<a href="../../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a>&nbsp;dist,
                           double[]&nbsp;data)
                                    throws <a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a>,
                                           <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#kolmogorovSmirnovTest(org.apache.commons.math3.distribution.RealDistribution,%20double[])"><code>KolmogorovSmirnovTest.kolmogorovSmirnovTest(RealDistribution, double[])</code></a></dd></dl>
</li>
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<h4>kolmogorovSmirnovTest</h4>
<pre>public static&nbsp;double&nbsp;kolmogorovSmirnovTest(<a href="../../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a>&nbsp;dist,
                           double[]&nbsp;data,
                           boolean&nbsp;strict)
                                    throws <a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a>,
                                           <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#kolmogorovSmirnovTest(org.apache.commons.math3.distribution.RealDistribution,%20double[],%20boolean)"><code>KolmogorovSmirnovTest.kolmogorovSmirnovTest(RealDistribution, double[], boolean)</code></a></dd></dl>
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<h4>kolmogorovSmirnovTest</h4>
<pre>public static&nbsp;boolean&nbsp;kolmogorovSmirnovTest(<a href="../../../../../../org/apache/commons/math3/distribution/RealDistribution.html" title="interface in org.apache.commons.math3.distribution">RealDistribution</a>&nbsp;dist,
                            double[]&nbsp;data,
                            double&nbsp;alpha)
                                     throws <a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a>,
                                            <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#kolmogorovSmirnovTest(org.apache.commons.math3.distribution.RealDistribution,%20double[],%20double)"><code>KolmogorovSmirnovTest.kolmogorovSmirnovTest(RealDistribution, double[], double)</code></a></dd></dl>
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<h4>kolmogorovSmirnovStatistic</h4>
<pre>public static&nbsp;double&nbsp;kolmogorovSmirnovStatistic(double[]&nbsp;x,
                                double[]&nbsp;y)
                                         throws <a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a>,
                                                <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#kolmogorovSmirnovStatistic(double[],%20double[])"><code>KolmogorovSmirnovTest.kolmogorovSmirnovStatistic(double[], double[])</code></a></dd></dl>
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<h4>kolmogorovSmirnovTest</h4>
<pre>public static&nbsp;double&nbsp;kolmogorovSmirnovTest(double[]&nbsp;x,
                           double[]&nbsp;y)
                                    throws <a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a>,
                                           <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#kolmogorovSmirnovTest(double[],%20double[])"><code>KolmogorovSmirnovTest.kolmogorovSmirnovTest(double[], double[])</code></a></dd></dl>
</li>
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<h4>kolmogorovSmirnovTest</h4>
<pre>public static&nbsp;double&nbsp;kolmogorovSmirnovTest(double[]&nbsp;x,
                           double[]&nbsp;y,
                           boolean&nbsp;strict)
                                    throws <a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a>,
                                           <a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></pre>
<dl><dt><span class="strong">Throws:</span></dt>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/InsufficientDataException.html" title="class in org.apache.commons.math3.exception">InsufficientDataException</a></code></dd>
<dd><code><a href="../../../../../../org/apache/commons/math3/exception/NullArgumentException.html" title="class in org.apache.commons.math3.exception">NullArgumentException</a></code></dd><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#kolmogorovSmirnovTest(double[],%20double[],%20boolean)"><code>KolmogorovSmirnovTest.kolmogorovSmirnovTest(double[], double[], boolean)</code></a></dd></dl>
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<h4>exactP</h4>
<pre>public static&nbsp;double&nbsp;exactP(double&nbsp;d,
            int&nbsp;m,
            int&nbsp;n,
            boolean&nbsp;strict)</pre>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#exactP(double,%20int,%20int,%20boolean)"><code>KolmogorovSmirnovTest.exactP(double, int, int, boolean)</code></a></dd></dl>
</li>
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<a name="approximateP(double, int, int)">
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<h4>approximateP</h4>
<pre>public static&nbsp;double&nbsp;approximateP(double&nbsp;d,
                  int&nbsp;n,
                  int&nbsp;m)</pre>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#approximateP(double,%20int,%20int)"><code>KolmogorovSmirnovTest.approximateP(double, int, int)</code></a></dd></dl>
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<h4>monteCarloP</h4>
<pre>public static&nbsp;double&nbsp;monteCarloP(double&nbsp;d,
                 int&nbsp;n,
                 int&nbsp;m,
                 boolean&nbsp;strict,
                 int&nbsp;iterations)</pre>
<dl><dt><span class="strong">Since:</span></dt>
  <dd>3.3</dd>
<dt><span class="strong">See Also:</span></dt><dd><a href="../../../../../../org/apache/commons/math3/stat/inference/KolmogorovSmirnovTest.html#monteCarloP(double,%20int,%20int,%20boolean,%20int)"><code>KolmogorovSmirnovTest.monteCarloP(double, int, int, boolean, int)</code></a></dd></dl>
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